Open AccessOn characterization of horizontal biharmonic curves in H^2 × R
Author(s) -
Talat Körpınar,
Essin Turhan
Publication year - 2011
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2011.15.08
Subject(s) - biharmonic equation , curvature , torsion (gastropod) , characterization (materials science) , mathematics , mathematical analysis , torsion of a curve , geometry , physics , center of curvature , mean curvature , optics , anatomy , boundary value problem , medicine
In this paper, we study biharmonic curves in H × R. We show that all of them are helices. By using the curvature and torsion of the curves, we give some characterizations of horizontal biharmonic curves in H × R.
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